Internal problem ID [6436]
Book: Own collection of miscellaneous problems
Section: section 2.0
Problem number: 52.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _with_linear_symmetries]]
Solve \begin {gather*} \boxed {y^{\prime \prime }-y^{\prime } x^{3}-x^{3} y-x^{4}-x^{3}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(x),x$2)-x^3*diff(y(x),x)-x^3*y(x)-x^4-x^3=0,y(x), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y''[x]-x^3*y'[x]-x^3*y[x]-x^4-x^3==0,y[x],x,IncludeSingularSolutions -> True]
Not solved